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Finding the Third Proportional to 241,264 and 527,228

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Solution

The third proportional to 241,264 and 527,228 is: 1,152,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,264 : 527,228 = 527,228 : x
  2. Step 2: Convert to fraction form
    241,264/527,228 = 527,228/x
  3. Step 3: Cross multiply
    241,264x = 527,228 × 527,228
  4. Step 4: Simplify right side
    241,264x = 277,969,363,984
  5. Step 5: Solve for x
    x = 277,969,363,984/241,264
  6. Step 6: Final answer
    x = 1,152,137.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.